54725827680 has 576 divisors, whose sum is σ = 205076551680. Its totient is φ = 13237862400.

The previous prime is 54725827679. The next prime is 54725827691. The reversal of 54725827680 is 8672852745.

54725827680 is a `hidden beast` number, since 5 + 47 + 258 + 276 + 80 = 666.

It is a super-2 number, since 2×54725827680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95841795 + ... + 95842365.

It is an arithmetic number, because the mean of its divisors is an integer number (356035680).

Almost surely, 2^54725827680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54725827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102538275840).

54725827680 is an abundant number, since it is smaller than the sum of its proper divisors (150350724000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54725827680 is a wasteful number, since it uses less digits than its factorization.

54725827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 54725827680 in words is "fifty-four billion, seven hundred twenty-five million, eight hundred twenty-seven thousand, six hundred eighty".